Question

Срочно нужен реферат на тему "что такое геометрия" где то на 2 минуты

Answer 1

Геометрия это отдел математики, в котором изучаются пространственные формы и законы их измерения.
Геометрия как систематическая наука появилась в Древней Греции, её аксиоматические построения описаны в «Началах» Евклида. Евклидова геометрия занималась изучением простейших фигур на плоскости и в пространстве, вычислением их площади и объёма. Предложенный Декартом в 1637 году координатный метод лёг в основу аналитической и дифференциальной геометрии, а задачи, связанные с черчением, привели к созданию начертательной и проективной геометрии.
Классификация геометрии, предложенная Клейном в «Эрлангенской программе» в 1872 году и содержащая в своей основе инвариантность геометрических объектов относительно различных групп преобразований, сохраняется до сих пор.
Исследуя реальные предметы, геометрия рассматривает только их форму и взаимное расположение, отвлекаясь от других свойств предметов, таких как плотность, вес, цвет. Это позволяет перейти от пространственных отношений между реальными объектами к любым отношениям и формам, возникающим при рассмотрении однородных объектов, и сходным с пространственными. В частности, геометрия позволяет рассматривать расстояния между функциями.

Answer 2

Геометрия-это наука об измерении земли.Многие древние учёные объясняли в своих работах первые этапы геометрии.Геометрия входит также в школьный курс,но в школьном курсе Геометрии изучают только два раздела это стереометрия и планиметрия.В стереометрии изучают фигуры в пространстве,а в планиметрии на плоскости.Геометрию следует понимать,потому что она многое нам даёт...!

Answer 3

What is Geometry?

Geometry is a branch of mathematics that deals with the study of shapes, sizes, properties, and relationships of figures and spaces. It is derived from the Greek words "geo" meaning "earth" and "metron" meaning "measurement." Geometry has been studied for thousands of years and has played a crucial role in various fields such as architecture, engineering, physics, and computer graphics.

Key Concepts in Geometry:

Points, Lines, and Planes: Geometry starts with the basic building blocks of points, lines, and planes. A point is a location in space with no size or dimension. A line is a straight path that extends infinitely in both directions. A plane is a flat surface that extends infinitely in all directions.

Angles: Angles are formed when two rays share a common endpoint, called the vertex. Angles are measured in degrees and can be classified as acute (less than 90 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees but less than 180 degrees), or straight (exactly 180 degrees).

Polygons: Polygons are closed figures made up of straight line segments. Common examples of polygons include triangles, quadrilaterals, pentagons, hexagons, and so on. Polygons can be classified based on the number of sides they have.

Circles: A circle is a closed curve in which all points are equidistant from a fixed point called the center. The distance from the center to any point on the circle is called the radius, and the distance across the circle passing through the center is called the diameter.

Transformations: Transformations in geometry involve moving, rotating, reflecting, or resizing figures while preserving their shape and size. Common transformations include translations, rotations, reflections, and dilations.

Coordinate Geometry: Coordinate geometry combines algebra and geometry by using coordinates to represent points and equations to represent lines and curves. It allows us to study geometric figures using algebraic techniques.

Applications of Geometry:

Geometry has numerous practical applications in various fields:

Architecture and Engineering: Architects and engineers use geometry to design and construct buildings, bridges, and other structures. They rely on geometric principles to ensure structural stability and aesthetic appeal.

Navigation and GPS: Geometry plays a crucial role in navigation systems and GPS technology. By using geometric calculations, GPS devices can determine the exact location of a person or object on the Earth's surface.

Computer Graphics and Animation: Geometry is essential in computer graphics and animation. It is used to create and manipulate 3D models, simulate realistic lighting and shading effects, and render lifelike images and animations.

Surveying and Land Measurement: Surveyors use geometric principles to measure and map land areas. They rely on techniques such as triangulation and trigonometry to determine distances, angles, and elevations accurately.

Physics and Astronomy: Geometry is fundamental to understanding the physical properties of objects and the behavior of light. It is used in physics to study the motion of objects, calculate forces, and analyze the shape of molecules. In astronomy, geometry helps astronomers measure distances between celestial objects and determine their positions in the sky.

Conclusion:

In summary, geometry is a branch of mathematics that deals with the study of shapes, sizes, properties, and relationships of figures and spaces. It encompasses concepts such as points, lines, angles, polygons, circles, transformations, and coordinate geometry. Geometry has practical applications in fields such as architecture, engineering, navigation, computer graphics, surveying, physics, and astronomy. By understanding the principles of geometry, we can better comprehend the world around us and solve real-world problems.